A study of the geometrical phase effect on scattering processes: Validity of the extended-Longuet-Higgins formalism for a four-fold Jahn-Teller type model system

Chemical Physics

Volumn 389, Issue 1-3, 2011, Pages 81-87

  Sarkar, B ^a   Varandas, A J C ^a  

^a UNIVERSITY OF COIMBRA   (Portugal)

Author keywords

Extended Longuet Higgins theorem; Geometrical phase; Jahn Teller problem

Indexed keywords

EID: 80955158467     PISSN: 03010104     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chemphys.2011.08.008     Document Type: Article

References (80)

1. M. Born, and J.R. Oppenheimer Ann. Phys. 84 1927 457
2. M. Born, and K. Huang Dynamical Theory of Crystal Lattices 1954 Clarendon Press Oxford
3. G. Herzberg, and H.C. Longuet-Higgins Discuss. Faraday Soc. 35 1963 77
4. H.C. Longuet-Higgins Proc. R. Soc. Ser. A 344 1975 147
5. A.J.C. Varandas, J. Tennyson, and J.N. Murrell Chem. Phys. Lett. 61 1979 431
6. M.V. Berry Proc. R. Soc. London Ser. 392 1984 45
7. C.A. Mead Chem. Phys. 49 1980 23
8. C.A. Mead, and D.G. Truhlar J. Chem. Phys. 70 1979 2284
9. C.A. Mead J. Chem. Phys. 72 1980 3839
10. B. Lepetit, and A. Kuppermann Chem. Phys. Lett. 166 1990 581
11. C.A. Mead Rev. Mod. Phys. 64 1992 51
12. A. Kuppermann, and Y.-S.M. Wu Chem. Phys. Lett. 205 1993 577
13. B.K. Kendrick, and R.T. Pack J. Chem. Phys. 106 1997 3519
14. B.K. Kendrick Phys. Rev. Lett. 79 1997 2431
15. A.J.C. Varandas, and H.G. Yu J. Chem. Soc. Faraday Trans. 93 1997 819
16. E. Wrede, and L. Schnieder J. Chem. Phys. 107 1997 786
17. M. Baer J. Chem. Phys. 109 1998 891
18. M. Baer, A.J.C. Varandas, and R. Englman J. Chem. Phys. 111 1999 9493
19. E. Wrede, L. Schnieder, K.H. Welge, F.J. Aoiz, L. Bañares, and V.J. Herrero J. Chem. Phys. 110 1999 9971
20. A.J.C. Varandas, and Z.R. Xu Chem. Phys. Lett. 316 2000 248
21. Z.R. Xu, M. Baer, and A.J.C. Varandas J. Chem. Phys. 112 2000 2746
22. A.J.C. Varandas, and Z.R. Xu J. Chem. Phys. 112 2000 2121
23. B.K. Kendrick, C.A. Mead, and D.G. Truhlar Chem. Phys. Lett. 277 2002 31
24. W. Domcke, H. Köppel, and D.R. Yarkony Conical Intersections: Electronic Structure, Dynamics and Spectroscopy 2004 World Scientific New Jersey
25. A.J.C. Varandas, and L.P. Viegas Chem. Phys. Lett. 367 2003 625
26. A.J.C. Varandas E.J. Brändas, E.S. Kryachko, Fundamental World of Quantum Chemistry: A Tribute Volume to the Memory of Per-Olov Löwdin Vol. 2 2003 Kluwer Dordrecht 33
27. A.J.C. Varandas, and Z.R. Xu Int. J. Quantum Chem. 99 2004 385
28. S.C. Althorpe, J.C. Juanes-Marcos, and E. Wrede Adv. Chem. Phys. 138 2008 1
29. S.C. Althorpe, T. Stecher, and F. Bouakline J. Chem. Phys. 129 2008 214117
30. N.T. Goldberg, J. Zhang, K. Koszinowski, F. Bouakline, S.C. Althorpe, and R.N. Zare Proc. Nat. Acad. Sci. USA 105 2008 18194
31. F. Bouakline, S.C. Althorpe, P. Larregaray, and L. Bonnet Mol. Phys. 108 2010 969
32. X. Li, D.A. Brue, B.K. Kendrick, J.D. Blandon, and G.A. Parker J. Chem. Phys. 134 2011 064108
33. M.D. Sturge D.T. F. Seitz, H. Ehrenreich, Solid State Physics: Advances in Research and Applications 1967 Acadamic New York 91
34. R. Englman The Jahn-Teller Effect in Molecules and Crystals 1972 Wiley New York
35. C.C. Chancey, and M.C.M. O'Brien J. Phys. A Math. Gen. 21 1988 3347
36. A. Ceulemans J. Chem. Phys. 87 1987 5374
37. 60 and other Icosahedral Complexes 1997 Princeton University Press NJ
38. I.B. Bersuker The Jahn-Teller Effect 2006 Cambridge University Press Cambridge
39. H. Köppel, D.R. Yarkony, and H. Barentzen The Jahn-Teller Effect: Fundamentals and Implications for Physics and Chemistry 2009 Springer Berlin
40. J.C. Juanes-Marcos, A.J.C. Varandas, and S.C. Althorpe J. Chem. Phys. 128 2008 211101
41. E. Lijnen, and A. Ceulemans Phys. Rev. B 71 2005 014305
42. H.A. Jahn, and E. Teller Proc. R. Soc. London Ser. A 161 1937 220
43. F.S. Ham Phys. Rev. Lett. 58 1987 725
44. I.J.R. Aitchison Physica Scripta T23 1988 12
45. M.C.M. O'Brien Phys. Rev. 187 1969 407
46. I.B. Bersuker Electronic Structure and Properties of Transition Metal Compounds 1996 Wiley New York
47. H.J. Wörner, R. van der Veen, and F. Markt Phys. Rev. Lett. 97 2006 173003
48. D. Opalka, and W. Domcke J. Chem. Phys. 132 2010 154108
49. A. Ceulemans, and P.W. Fowler Phys. Rev. 39 1989 481
50. A. Ceulemans, and P.W. Fowler J. Chem. Phys. 93 1990 1221
51. M. Abou-Ghantous, P.B. Oliete, C.A. Bates, J.L. Dunn, V.Z. Polinger, R. Huang, and S.P. Rough J. Phys. Condens. Matter 14 2002 4679
52. A. Ceulemans, E. Lijnen, and Q.C. Qui Chem. Phys. Chem. 8 2007 64
53. I.D. Hands, W.A. Diery, C.A. Bates, and J.L. Dunn Phys. Rev. B 76 2007 085426
54. J.P. Cullerne, and M.C. O'Brien J. Phys. Condens. Matter 6 1994 9017
55. N. Manini, and P. de los Rios J. Phys. Condens. Matter 10 1998 8485
56. D.E. Manolopoulos, and M.S. Child Phys. Rev. Lett. 82 1999 2223
57. M. Baer, and R. Englman Chem. Phys. Lett. 265 1997 105
58. M. Baer Chem. Phys. Lett. 322 2000 520
59. R. Baer, D.M. Charutz, R. Kosloff, and M. Baer J. Chem. Phys. 105 1996 9141
60. M. Baer J. Chem. Phys. 107 1997 2694
61. M. Baer Chem. Phys. 259 2000 123
62. M. Baer, S.H. Lin, A. Alijah, S. Adhikari, and G.D. Billing Phys. Rev. A 62 2000 032506
63. S. Adhikari, G.D. Billing, A. Alijah, S.H. Lin, and M. Baer Phys. Rev. A 62 2000 032507
64. B. Sarkar, and S. Adhikari J. Chem. Phys. 124 2006 074101
65. B. Sarkar, and S. Adhikari Indian J. Phys. 81 2007 925
66. B. Sarkar, and S. Adhikari J. Phys. Chem. A 112 2008 9868
67. B. Sarkar, and S. Adhikari Int. J. Quantum Chem. 60 2009 650
68. A.K. Paul, S. Sardar, B. Sarkar, and S. Adhikari J. Chem. Phys. 131 2009 124312
69. D.R. Yarkony Rev. Mod. Phys. 68 1996 985
70. D.R. Yarkony J. Phys. Chem. A 105 2001 6277
71. D.R. Yarkony Faraday Discuss. 127 2004 325
72. A.J.C. Varandas Chem. Phys. Lett. 487 2010 139
73. A.J.C. Varandas, and B. Sarkar Phys. Chem. Chem. Phys. 13 2011 8131
74. S. Adhikari, and G.D. Billing J. Chem. Phys. 111 1999 40
75. J.D. Louck Am. J. Phys. 5 1963 378
76. J.D. Louck J. Mol. Spectrosc. 4 1960 298
77. S.J. Leon Linear Algebra with Applications 1990 MacMillan Publishing Company New York
78. P. Puzari, B. Sarkar, and S. Adhikari Chem. Phys. 324 2006 497
79. P. Puzari, B. Sarkar, and S. Adhikari J. Chem. Phys. 121 2007 707
80. Z.R. Xu, and A.J.C. Varandas J. Phys. Chem. A 105 2001 2246